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9 produkter
9 produkter
2 624 kr
Skickas inom 10-15 vardagar
Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today.
2 624 kr
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Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference “Grothendieck, A Multifarious Giant” at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.
Reals by Abstraction. An Inquiry about Epistemic Economy in Mathematics: Volume I
Epistemic Economy and The Natural Numbers
Inbunden, Engelska, 2026
1 381 kr
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This first of a two-volume book discusses the process of conceptual recasting of mathematical contents under a new and more convenient form, complying with the ideal of epistemic economy (expressing the same content by appealing to fewer or minimal conceptual resources).
Three Infinities in Mathematics
Projective Geometry, Infinitesimal Analysis, Set Theory
Inbunden, Engelska, 2026
721 kr
Kommande
This book is intended as conceptual introduction to three mathematical theories arising from the attempt to understand (actual) infinity.
Del 523 - Synthese Library
Reals by Abstraction. An Inquiry about Epistemic Economy in Mathematics: Volume II
The Real Numbers
Inbunden, Engelska, 2026
1 434 kr
Kommande
Del 308 - Boston Studies in the Philosophy and History of Science
From Logic to Practice
Italian Studies in the Philosophy of Mathematics
Inbunden, Engelska, 2014
535 kr
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This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.
Del 37 - Logic, Epistemology, and the Unity of Science
Functions and Generality of Logic
Reflections on Dedekind's and Frege's Logicisms
Inbunden, Engelska, 2015
535 kr
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This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs.
Del 308 - Boston Studies in the Philosophy and History of Science
From Logic to Practice
Italian Studies in the Philosophy of Mathematics
Häftad, Engelska, 2016
535 kr
Skickas inom 10-15 vardagar
This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.
Functions and Generality of Logic
Reflections on Dedekind's and Frege's Logicisms
Häftad, Engelska, 2016
535 kr
Skickas inom 10-15 vardagar
This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs.